Master Graphing Absolute Value Equations with Multiple transformations

The video tutorial explains how to graph absolute value functions with multiple transformations. It covers the parent graph, y = |x|, and how transformations like horizontal and vertical shifts affect the graph. The tutorial also discusses the impact of negative coefficients, which reflect the graph over the x-axis. The instructor demonstrates graphing techniques, emphasizing the importance of writing down transformations to avoid mistakes. The video concludes with examples of combining multiple transformations.

What is the parent graph of an absolute value function?

• y = 1/x

• y = x

• y = |x|

• y = x^2

How does a positive K value affect the graph of an absolute value function?

• Shifts the graph down

• Shifts the graph up

• Shifts the graph to the right

• Shifts the graph to the left

If the transformation is X - 3, how does the graph shift?

• 3 units to the left

• 3 units to the right

• 3 units up

• 3 units down

What is the new vertex if the graph is shifted 1 unit right and 5 units down?

• (-1, 5)

• (1, -5)

• (-5, 1)

• (5, -1)

What happens to the graph of an absolute value function when a negative sign is placed in front?

• It reflects over the x-axis

• It shifts to the left

• It reflects over the y-axis

• It shifts to the right

How does the slope change when the graph is reflected over the x-axis?

• Over one, up one

• Over one, down one

• Over two, down two

• Over two, up two

What should you do first when dealing with a negative sign in front of the absolute value function?

• Shift the graph up

• Shift the graph down

• Reflect over the x-axis

• Reflect over the y-axis